Elliptic curve isogeny class data - 37440.dt

Formats: - HTML - YAML - JSON - 2025-10-27T17:23:21.894879

• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0], 'aplist': [0, 0, 1, -2, 0, -1, 0, 2, -6, 0, -8, -2, -6, -4, 0, -6, 0, -14, -4, 0, -4, 16, 12, 6, -4], 'class_deg': 6, 'class_size': 4, 'conductor': 37440, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '37440.dt', 'trace_hash': 720976892787259804}
• lmfdb_iso 37440.dt does not appear in ec_padic
• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 249573
    {'Ciso': '37440fb', 'Clabel': '37440fb4', 'Cnumber': 4, 'abc_quality': 1.0563591940391528, 'absD': 110172963554678003466240, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -502604652, -4336955093936], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 37440, 'degree': 6635520, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5944129687549141145366897185', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 97, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [73474353581350183614361, 576510977802240], 'lmfdb_iso': '37440.dt', 'lmfdb_label': '37440.dt1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -872578, -313799212], 'min_quad_twist_disc': 24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.6', '40.6.0.b.1', '60.24.0-6.a.1.1', '120.48.0.?', '156.24.0.?', '312.48.0.?', '780.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 45], [3, 6, 320], [5, 6, 7488], [13, 14, 2880]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0053860535809413047132189179', 'prec': 100}, 'szpiro_ratio': 6.810652948616557, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 249572
    {'Ciso': '37440fb', 'Clabel': '37440fb3', 'Cnumber': 3, 'abc_quality': 1.0346538273212997, 'absD': 304299437765276624486400, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -30745452, -70781694896], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 37440, 'degree': 3317760, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2478393784749414598280736577', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 97, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-16818951115904497561, 1592332281446400], 'lmfdb_iso': '37440.dt', 'lmfdb_label': '37440.dt2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -53378, -5124652], 'min_quad_twist_disc': 24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.6', '40.6.0.c.1', '60.24.0-6.a.1.12', '78.24.0.?', '120.48.0.?', '312.48.0.?', '780.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 117], [3, 6, 320], [5, 6, 7488], [13, 14, 2880]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6588124633009686500046028571', 'prec': 100}, 'szpiro_ratio': 6.029049771276296, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 249571
    {'Ciso': '37440fb', 'Clabel': '37440fb2', 'Cnumber': 2, 'abc_quality': 1.11183271776232, 'absD': 50049152886022078464000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -9217452, 405482704], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 37440, 'degree': 2211840, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0451068244208592688390671000', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 97, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [453198971846635561, 261896250564000], 'lmfdb_iso': '37440.dt', 'lmfdb_label': '37440.dt3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -16003, 27998], 'min_quad_twist_disc': 24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.14', '40.6.0.b.1', '60.24.0-6.a.1.3', '120.48.0.?', '156.24.0.?', '312.48.0.?', '780.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 45], [3, 2, 832], [5, 6, 7488], [13, 14, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4560799092468864590155962994', 'prec': 100}, 'szpiro_ratio': 5.671474230902287, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 249570
    {'Ciso': '37440fb', 'Clabel': '37440fb1', 'Cnumber': 1, 'abc_quality': 1.102611128088335, 'absD': 782387814334464000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [0, 0, 0, 2302548, 50666704], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 37440, 'degree': 1105920, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6985332341408866141304510393', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 97, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [7064514799444439, 4094064000000], 'lmfdb_iso': '37440.dt', 'lmfdb_label': '37440.dt4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 3997, 3998], 'min_quad_twist_disc': 24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.14', '40.6.0.c.1', '60.24.0-6.a.1.8', '78.24.0.?', '120.48.0.?', '312.48.0.?', '780.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 117], [3, 2, 832], [5, 6, 7488], [13, 14, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1095063189669138043069802387', 'prec': 100}, 'szpiro_ratio': 5.276312659599003, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}